Applications of the Sylvester operator in the space of slice semi-regular functions

DOI10.1515/conop-2020-0001zbMath1450.30068OpenAlexW3004744929MaRDI QIDQ1988334

Amedeo Altavilla, Chiara de Fabritiis

Publication date: 23 April 2020

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/conop-2020-0001

zbMATH Keywords

quaternionsslice-regular functions\(\ast\)-product of slice-regular functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (3)

\(\ast\)-logarithm for slice regular functions ⋮ Spherical coefficients of slice regular functions ⋮ Transcendental operators acting on slice regular functions

Cites Work

• Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras
• Polynomial interpolation over quaternions
• s-regular functions which preserve a complex slice
• Slice-polynomial functions and twistor geometry of ruled surfaces in \(\mathbb {CP}^3\)
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• The C-property for slice regular functions and applications to the Bergman space
• Regular Functions of a Quaternionic Variable
• On the Sylvester Equation over Quaternions
• The algebra of slice functions
• How and Why to Solve the Operator Equation AX −XB = Y
• $*$-exponential of slice-regular functions

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